A plane with a speed relative to still air of 78.5m/s is heading due south. After one hour an observer on the ground below sees that the plan has only traveled 255 km, and that the plane is 25.0°to the westof a direct path south. (a) What is the magnitude of the wind velocity? (b) What is the angle of the wind velocity relative to due west?
A plane with a speed relative to still air of 78.5m/s is heading due south. After one hour an observer on the ground below sees that the plan has only traveled 255 km, and that the plane is 25.0°to the westof a direct path south. (a) What is the magnitude of the wind velocity? (b) What is the angle of the wind velocity relative to due west?
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Question
A plane with a speed relative to still air of 78.5m/s is heading due south. After one hour an observer on the ground below sees that the plan has only traveled 255 km, and that the plane is 25.0°to the westof a direct path south. (a) What is the magnitude of the wind velocity? (b) What is the angle of the wind velocity relative to due west?
Expert Solution
Step 1
Given plane is directed due south.
With speed relative to still air a=78.5m/s
Later on it is observed it has moved 255km in one hour.
Therefore speed in resultant direction is
b=255km/hr
Or ( in terms of m/s)
b=255x5/18=70.83m/s
Let's assume speed of the air is c at an angle θ as shown in figure
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